Just regular Sky Cop AFSCs as far as I know, but certain units send selected Airmen to accredited Army or other Services schools for additional training. For example, the unit I was ~10% Airborne qualified (I got my jump wings at the AF Academy so I personally didn’t have to go to Benning), and at any given time 1 or 2 of them were also selected for Ranger School with the Army…real deal full course, after passing the pre-qual course, of course!
My sister squadron (86SFS) was closer to 50% Airborne qualified, with at least 4 or 5 Ranger-Qualified Airmen at any given time; many of those guys also went on to become Combat Controllers, or outright went straight to AFSOC/SOCOM after an assignment with us and passing whatever unit they were joining’s selection process. Several fully qualified medics too…back then, after they graduated as Medics, we still sent them to goat school too (in a former Eastern Bloc country), don’t know if they still allow that now though; doubt it, based on what I see in the press.
They always had at least one fully trained two person sniper team in house, and usually two teams with one or two spares. We were all on 24/7 alert to deploy within 24-hours, and spent a craptaculous amount of taxpayer money on training!